Measurement of the $e^+e^- \to \eta\pi^+\pi^-$ cross section in the   center-of-mass energy range 1.22--2.00 GeV with the SND detector at the   VEPP-2000 collider

V. M. Aulchenko; M. N. Achasov; A. Yu. Barnyakov; K. I. Beloborodov,; A. V. Berdyugin; A. G. Bogdanchikov; A. A. Botov; T. V. Dimova; V. P.; Druzhinin; V. B. Golubev; L. V. Kardapoltsev; A. G. Kharlamov; I. A. Koop; A.; A. Korol; S. V. Koshuba; D. P. Kovrizhin; A. S. Kupich; K. A. Martin; A. E.; Obrazovsky; E. V. Pakhtusova; A. I. Senchenko; S. I. Serednyakov; Z. K.; Silagadze; Yu. M. Shatunov; P. Ju. Shatunov; D. A. Shtol; D. B. Shwartz; A.; N. Skrinsky; I. K. Surin; Yu. A. Tikhonov; Yu. V. Usov; A. V. Vasiljev

arXiv:1412.1971·hep-ex·March 25, 2015

Measurement of the $e^+e^- \to \eta\pi^+\pi^-$ cross section in the center-of-mass energy range 1.22--2.00 GeV with the SND detector at the VEPP-2000 collider

V. M. Aulchenko, M. N. Achasov, A. Yu. Barnyakov, K. I. Beloborodov,, A. V. Berdyugin, A. G. Bogdanchikov, A. A. Botov, T. V. Dimova, V. P., Druzhinin, V. B. Golubev, L. V. Kardapoltsev, A. G. Kharlamov, I. A. Koop, A., A. Korol, S. V. Koshuba, D. P. Kovrizhin, A. S. Kupich

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TL;DR

This paper measures the cross section of the $e^+e^- o \,\eta\pi^+\pi^-$ process in the 1.22 to 2.00 GeV energy range using the SND detector, improving accuracy and analyzing resonance contributions.

Contribution

It provides more precise measurements of the cross section and extracts the product of branching fractions for the $ ho(1450)$ resonance, testing the vector current conservation hypothesis.

Findings

01

Results agree with previous measurements but with better accuracy.

02

Extracted product of branching fractions for $ ho(1450)$ decays.

03

Tested the conservation of vector current hypothesis.

Abstract

In the experiment with the SND detector at the VEPP-2000 $e^{+} e^{-}$ collider the cross section for the process $e^{+} e^{-} \to η π^{+} π^{-}$ has been measured in the center-of-mass energy range from 1.22 to 2.00 GeV. Obtained results are in agreement with previous measurements and have better accuracy. The energy dependence of the $e^{+} e^{-} \to η π^{+} π^{-}$ cross section has been fitted with the vector-meson dominance model. From this fit the product of the branching fractions $B (ρ (1450) \to η π^{+} π^{-}) B (ρ (1450) \to e^{+} e^{-})$ has been extracted and compared with the same products for $ρ (1450) \to ω π^{0}$ and $ρ (1450) \to π^{+} π^{-}$ decays. The obtained cross section data have been also used to test the conservation of vector current hypothesis.

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